SOLUTION: Need to understand how to resolve this equation (3/2)x - (5/6) + x = (1/2)x + (2/3)

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Question 574630: Need to understand how to resolve this equation
(3/2)x - (5/6) + x = (1/2)x + (2/3)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+%283%2F2%29x+-+%285%2F6%29+%2B+x+=+%281%2F2%29x+%2B+%282%2F3%29++
Multiply both sides by 6
+9x+-+5+%2B+6x+=+3x+%2B+4+
+15x+-+3x+=+9+
+12x+=+9+
+x+=+3%2F4+
check answer:
+%283%2F2%29%2A%283%2F4%29+-+5%2F6+%2B+3%2F4+=+%281%2F2%29%2A%283%2F4%29+%2B+2%2F3++
+9%2F8+-+5%2F6+%2B+3%2F4+=+3%2F8+%2B+2%2F3+
Multiply each side by +48+
+54+-+40+%2B+36+=+18+%2B+32+
+50+=+50+
OK